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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3840.1.c.a \(1\) \(1.916\) \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(-1\) \(-1\) \(0\) \(q-q^{3}-q^{5}+q^{9}+q^{15}+q^{25}-q^{27}+\cdots\)
3840.1.c.b \(1\) \(1.916\) \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(-1\) \(1\) \(0\) \(q-q^{3}+q^{5}+q^{9}-q^{15}+q^{25}-q^{27}+\cdots\)
3840.1.c.c \(1\) \(1.916\) \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(1\) \(-1\) \(0\) \(q+q^{3}-q^{5}+q^{9}-q^{15}+q^{25}+q^{27}+\cdots\)
3840.1.c.d \(1\) \(1.916\) \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(1\) \(1\) \(0\) \(q+q^{3}+q^{5}+q^{9}+q^{15}+q^{25}+q^{27}+\cdots\)
3840.1.c.e \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{30}) \) \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}-iq^{5}+iq^{7}+q^{9}+iq^{15}+\cdots\)
3840.1.c.f \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-30}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{5}-q^{9}-q^{15}-q^{23}+\cdots\)
3840.1.c.g \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-30}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-iq^{5}-q^{9}+q^{15}+q^{23}+\cdots\)
3840.1.c.h \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{30}) \) \(0\) \(2\) \(0\) \(0\) \(q+q^{3}-iq^{5}-iq^{7}+q^{9}-iq^{15}+\cdots\)
3840.1.i.a \(4\) \(1.916\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{8}q^{3}-q^{5}+(\zeta_{8}+\zeta_{8}^{3})q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3840.1.i.b \(4\) \(1.916\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{8}q^{3}+q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3840.1.bj.a \(4\) \(1.916\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}q^{5}+(-1+\zeta_{8}^{2})q^{7}+\cdots\)
3840.1.bj.b \(4\) \(1.916\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+(-1+\zeta_{8}^{2})q^{7}+\cdots\)
3840.1.bj.c \(4\) \(1.916\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1-\zeta_{8}^{2})q^{7}+\cdots\)
3840.1.bj.d \(4\) \(1.916\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}q^{5}+(1-\zeta_{8}^{2})q^{7}-\zeta_{8}^{2}q^{9}+\cdots\)
3840.1.bu.a \(8\) \(1.916\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{3}+\zeta_{16}^{3}q^{5}+\zeta_{16}^{2}q^{9}-\zeta_{16}^{4}q^{15}+\cdots\)
3840.1.bu.b \(8\) \(1.916\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{3}+\zeta_{16}^{3}q^{5}+\zeta_{16}^{2}q^{9}+\zeta_{16}^{4}q^{15}+\cdots\)
3840.1.cl.a \(16\) \(1.916\) \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{3}+\zeta_{32}q^{5}+\zeta_{32}^{6}q^{9}-\zeta_{32}^{4}q^{15}+\cdots\)
3840.1.dy.a \(64\) \(1.916\) \(\Q(\zeta_{128})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{128}^{29}q^{2}-\zeta_{128}q^{3}+\zeta_{128}^{58}q^{4}+\cdots\)
3840.2.a.a \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-4\) \(+\) \(q-q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
3840.2.a.b \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-2\) \(-\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
3840.2.a.c \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-2\) \(+\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
3840.2.a.d \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-2\) \(+\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}+4q^{11}+q^{15}+\cdots\)
3840.2.a.e \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(q-q^{3}-q^{5}+q^{9}+6q^{13}+q^{15}+2q^{19}+\cdots\)
3840.2.a.f \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(2\) \(+\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
3840.2.a.g \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(2\) \(-\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}+6q^{13}+\cdots\)
3840.2.a.h \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(-2\) \(+\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
3840.2.a.i \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(-2\) \(-\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}+6q^{11}-6q^{13}+\cdots\)
3840.2.a.j \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}+q^{5}+q^{9}-6q^{13}-q^{15}+2q^{19}+\cdots\)
3840.2.a.k \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) \(-\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
3840.2.a.l \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) \(+\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
3840.2.a.m \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) \(+\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-q^{15}+\cdots\)
3840.2.a.n \(1\) \(30.663\) \(\Q\) None None \(0\) \(-1\) \(1\) \(4\) \(-\) \(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3840.2.a.o \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}-6q^{11}+6q^{13}+\cdots\)
3840.2.a.p \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(-\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
3840.2.a.q \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{3}-q^{5}+q^{9}+6q^{13}-q^{15}-2q^{19}+\cdots\)
3840.2.a.r \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(2\) \(+\) \(q+q^{3}-q^{5}+2q^{7}+q^{9}-4q^{11}-q^{15}+\cdots\)
3840.2.a.s \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(2\) \(+\) \(q+q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
3840.2.a.t \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(2\) \(-\) \(q+q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
3840.2.a.u \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(-1\) \(4\) \(+\) \(q+q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
3840.2.a.v \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(-4\) \(-\) \(q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3840.2.a.w \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(-2\) \(+\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+q^{15}+\cdots\)
3840.2.a.x \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(-2\) \(+\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
3840.2.a.y \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(-2\) \(-\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
3840.2.a.z \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}+q^{5}+q^{9}-6q^{13}+q^{15}-2q^{19}+\cdots\)
3840.2.a.ba \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(2\) \(+\) \(q+q^{3}+q^{5}+2q^{7}+q^{9}-6q^{11}-6q^{13}+\cdots\)
3840.2.a.bb \(1\) \(30.663\) \(\Q\) None None \(0\) \(1\) \(1\) \(2\) \(-\) \(q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
3840.2.a.bc \(2\) \(30.663\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(-4\) \(+\) \(q-q^{3}-q^{5}+(-2+\beta )q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
3840.2.a.bd \(2\) \(30.663\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(4\) \(-\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
3840.2.a.be \(2\) \(30.663\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(-2\) \(4\) \(+\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
3840.2.a.bf \(2\) \(30.663\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(2\) \(-4\) \(-\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
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